Hi!
I come across a problem that I don't understand.
I generate systems of equations
and try to solve them using mathematica.
For example,
---------------------------------------------------------------
In[1]= Solve[((4/2)*( 1.50*z+ 2.00)+(4-4/2)*
Sqrt[( 1.50*z+ 0.00)^2+ 4.00]) +
((4/2)*( 1.50*z+ 2.00)+(4-4/2)*
Sqrt[( 1.50*z+ 0.00)^2+ 4.00])- 8.10*z==0, z]
Out[1]= {}
---------------------------------------------------------------
But mathematica can't solve it, simply returing empty.
This equation can be solved, though, as you see.
I restarted mathematica to run again, but it doesn't help.
The weird thing is some equations are solved, like the below.
---------------------------------------------------------------
In[2]= Solve[((4/2)*( 1.50*z+ 2.00)+(2-4/2)*
Sqrt[( 1.50*z+ 0.00)^2+ 4.00]) +
((4/2)*( 1.50*z+ 2.00)+(3-4/2)*
Sqrt[( 1.50*z+ 0.00)^2+ 4.00])- 8.10*z==0, z]
Out[2]= {{z->13.4976}}
---------------------------------------------------------------
What's wrong with it and how can I solve it?
I need to use mathematica, because the number of the systems
of equations are large.
(Please disregard any redundunt terms in the equations..
they are generated by a program.)
With that, when does mathematica return '{}' as an answer?
Thank you.
--- James, newbie in mathematica.